Question

|x+1|=2x

Answer 1

kinda obvious what x is but i dont kno how to explain or do this 1 mathmetically

Answer 2

if |y|=a
then \[y=\pm a\]
so |x+1|=2x
gives (x+1)= 2x or (x+1)=-2x
can u solve these two to get 2 values of x ??
out of these 2 ,one after re substituting in original equation,will not give u equality.so u discard that vale.
then u will have only 1 solution.

Answer 3

@hartnn so how do i do |x+1|=2x

Answer 4

subtract 1 from both sides? @hartnn

Answer 5

as i have explained,u have
(x+1)= 2x or (x+1)=-2x
u need to solve both of these
take one at a time
x+1=2x
subtract x from both sides,what u get??

Answer 6

1x? @hartnn

Answer 7

right?

Answer 8

1x where on left side or right side?

Answer 9

right side @hartnn

Answer 10

so whats on left side??

Answer 11

um is it 1

Answer 12

yup,so u have
1x=1
that is
x=1
is one of your solution.
can u get other solution similarly ?

Answer 13

Thanks and i'll try

Answer 14

so the second on is |x+1|=-2x right? @hartnn

Answer 15

(x+1)=-2x
u can remove mod | | sign,since u are taking -2x

Answer 16

is x=-3 correct?

Answer 17

@hartnn

Answer 18

nopes,
u get 3x=-1
so x=-(1/3)
but when u put this in original equation,equality does not get satisfied,
so the only solution u have is
x=1
ok?